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Finding the Fourth Proportional to 498,907.47, 748,656.50 and 183,585.81

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Solution

The fourth proportional to 498,907.47, 748,656.50 and 183,585.81 is: 275,487.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,907.47 : 748,656.50 = 183,585.81 : x
  2. Step 2: Convert to fraction form
    498,907.47/748,656.50 = 183,585.81/x
  3. Step 3: Cross multiply
    498,907.47x = 748,656.50 × 183,585.81
  4. Step 4: Simplify right side
    498,907.47x = 137,442,709,046.34
  5. Step 5: Solve for x
    x = 137,442,709,046.34/498,907.47
  6. Step 6: Final answer
    x = 275,487.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.